211313131020120 has 128 divisors (see below), whose sum is σ = 636731813203200. Its totient is φ = 56101971810816.

The previous prime is 211313131019981. The next prime is 211313131020197. The reversal of 211313131020120 is 21020131313112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806324547 + ... + 806586573.

It is an arithmetic number, because the mean of its divisors is an integer number (4974467290650).

Almost surely, 2^{211313131020120} is an apocalyptic number.

211313131020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211313131020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318365906601600).

211313131020120 is an abundant number, since it is smaller than the sum of its proper divisors (425418682183080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211313131020120 is a wasteful number, since it uses less digits than its factorization.

211313131020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291617 (or 291613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211313131020120 its reverse (21020131313112), we get a palindrome (232333262333232).

The spelling of 211313131020120 in words is "two hundred eleven trillion, three hundred thirteen billion, one hundred thirty-one million, twenty thousand, one hundred twenty".